the whole question needs help

FREE-RESPONSE QUESTION | A calculator may be used for this question. .. An isosceles triangle is inscribed in a semicircle, as shown in the diagram, : and it continues to be inscribed as the gernicircle changes size. The area of the semicircle is increasing at the rate of 1 cm?/sec - when the radius of the semicircl is 3 cm. . a. How fast is the radius of the semicircle ' increasing when the radius is 3 cm? Include units in your answer. ; b. How fast is the perimeter of the semicircle increasing when the radius is 3 cm? Include units in your answer. ' c. How fast is the area of the isosceles triangle b increasing when the radius is 3 cm? Include units in your answer. 4. How fast is the shaded region increasing when the radius is 3 m? . Include units in"your answer. . . i '.Consider the curve defined by 2y + 6z%y 1222 + 6y = 1. (a) Shgw that E.l...y.- = M_ dz\" z?+y*+1 (b) Write an equation of each horizontal tangent line to the curve. (c) The line through the origin with slope 1 is tangent to the curve at point P: Find the z and y-coordinates of point P. ':' Let f be g z.:fsziimn with f(1) = 4 such that for all points (z,y) on the graph of f the slope is 2 (2) Find the slope of the graph of f at the point where'z = 1 (b) ':rlfm:\\e\\ an equation for the line tangent to the graph of f at .w = 1 and use it to approximate 5__\\